Static power increases with number of transistors, which increases with hardware components added for parallelism (because there are more components, which can allow for more balanced usage and stalling, but also for more time when there are some absolute components). Thus, increased parallelism can result in increased static power. The reduction in dynamic power is not necessarily worth it for most applications. This is unlikely owing to the fact that though the components run for less time, there are many more of them, although stalls are still reduced. Thus, parallelism tends to be done for reasons relating to speed, rather than power.
Static power increases with number of transistors, which increases with hardware components added for parallelism (because there are more components, which can allow for more balanced usage and stalling, but also for more time when there are some absolute components). Thus, increased parallelism can result in increased static power. The reduction in dynamic power is not necessarily worth it for most applications. This is unlikely owing to the fact that though the components run for less time, there are many more of them, although stalls are still reduced. Thus, parallelism tends to be done for reasons relating to speed, rather than power.